Use of the Tensor Product for Numerical Weather Prediction by the Finite Element Method. Part 1.

Abstract

This report concerns application of the tensor product in solving large sets of linear equations arising in Numerical Weather Prediction problems. The coefficient matrix considered is called the 'mass' matrix in finite element parlance. Theory of the tensor product resolution is presented, along with methods for imposing Dirichlet and cyclic boundary conditions. Operation counts and storage requirements are compared with corresponding numbers for some widely-used solution algorithms. Listings of Fortran programs for implementing the tensor product solution system (TENSOR) and testing it are given.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1984
Accession Number
ADA143273

Entities

People

  • R. E. Newton

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Boundaries
  • California
  • Coefficients
  • Equations
  • Finite Element Analysis
  • Floating Point Operations
  • Iterations
  • Procedures (Computers)
  • Research Facilities
  • Standards
  • Stiffness
  • Technical Information Centers
  • Triangles
  • Weather Forecasting

Readers

  • Atmospheric Science/Meteorology
  • Calculus or Mathematical Analysis
  • Systems Analysis and Design